Brazilian wing-back Alves's 25-yard strike followed Mario Mandzukic's opener for the treble-chasing Italian champions as any semblance of a contest was snuffed out by half-time.
Teenage star Kylian Mbappe pulled a goal back for the principality club after the break, his sixth of the competition.
But there was never any realistic prospect of them threatening to overturn a 2-0 deficit from last week's first leg.
It will be the ninth time Juventus, runners-up to Barcelona in 2015, have contested the final of Europe's elite club competition.
And on this evidence, Massimiliano Allegri's sinewy, battle-hardened squad stand a good chance of adding to the club's meagre return of two triumphs when they meet either Atletico Madrid or Real Madrid in Cardiff on June 3rd.
"I think we have a good chance of winning the trophy," Allegri said. "We have all grown since 2015, including myself, and getting to the final is no easy thing. The Champions is a serious competition.
"Now we are in the crucial phase of the season because we have not won anything yet. In order we have the championship, the Italian Cup and the Champions: there is no time for slacking, we have to take care of the details and we have a month to get ready for Cardiff."
Monaco coach Leonardo Jardim batted off suggestions that Tuesday might have been the last big night for his talented young squad before its brightest stars are lured away.
"I am going to stay and I think all the players are going to stay. In three years time this squad will be 25, 30 percent better."
Jardim said he expected Juve to be facing Real in Cardiff and said the Italians would be anything but underdogs.
"This Juve is stronger than it was in 2015. There are many of the same players but with more experience of this level.
"The final is two teams with many quality players and experience of matches like that - it could go either way. I don't think there are any favourites."
Allegri made only one change from last week's first leg line-up but was soon forced to restore it as Germany midfielder Sami Khedira, returning from suspension, lasted only ten minutes before limping off to make way for Claudio Marchisio.
For Monaco, the loss of Nabil Dirar to injury in the warm-up meant a hasty return for Benjamin Mendy as coach Leonardo Jardim opted to match Juve's 3-5-2 set-up.
The results were initially encouraging and Mbappe squeezed a fifth-minute shot past Gianluigi Buffon from a tight angle and held his head in his hands as it came back off the inside of the post, although the offside flag had come up.
Subasic kept busy
The home supporters had to wait quarter of an hour to see their side emerge meaningfully from their own half.
But they were soon being treated to some slick entertainment that at times left the visitors looking like spectators.
Paulo Dybala made amends for slicing Gonzalo Higuain's knockdown wide from the edge of the area by deftly playing his fellow Argentinian into a one-on-one with Monaco goalkeeper Danijel Subasic.
It was the kind of chance the striker usually gobbles up but this one was fluffed with a semi-shanked attempt to dink the ball over the goalkeeper.
Mandzukic had a similar chance but saw his toe-poked effort saved by Subasic before Andrea Raggi's last-ditch block denied Dybala.
But a goal was coming and it duly arrived 12 minutes before the break after a move that began with a Buffon throw out.
Dybala supplied Alves on the right and his deep cross picked out Mandzukic advancing on the back post. Again Subasic saved at close range but the rebound fell kindly for the Croatian striker to thump the loose ball into the roof of the net.
The deflated body language of Monaco's young side told its own story and any doubt about the outcome disappeared a minute before the interval.
Subasic did well again to keep out Dybala's effort with another close-range stop and he got a firm fist to the resulting corner.
But the clearance fell invitingly for Alves 25 yards out and the Brazilian's volley was timed sweetly enough to beat the Monaco goalkeeper to his left by sheer pace.
Comprehensively outplayed, Monaco restored a bit of pride when Mbappe pulled a goal back midway through the second period.
Portugal midfielder Joao Moutinho was the architect, working his way into the left side of the box. His cross was clipped low from the byline and Mbappe showed quick feet to bundle it over the line in a manner reminiscent of a young Thierry Henry, also once a Monaco prodigy.
By Angus MacKinnon